Question

based on the given diagram, complete the sentence below.
answer attempt 1 out of 2
point ( d ) is the of ( \triangle a b c ) because ( overline{a f}, overline{b g} ), and ( overline{c e} ) are all

Explanation:

Step1: Recall the definition of centroid

The centroid of a triangle is the point of intersection of its medians. A median of a triangle is a line segment joining a vertex to the mid - point of the opposite side.

Step2: Analyze the given segments

In the diagram, \(\overline{AF}\), \(\overline{BG}\), and \(\overline{CE}\) are medians. Since \(D\) is the intersection point of these medians.

Answer:

centroid; medians